Analysis of the model of HIV-1 infection of C D 4 + $CD4^{+}$ T-cell with a new approach of fractional derivative

Advances in Difference Equations

Shahram Rezapour¹  Dumitru Baleanu²  Hakimeh Mohammadi³ 

[1] Department of Mathematics, Azarbaijan Shahid Madani University;Department of Mathematics, Cankaya University;Department of Mathematics, Miandoab Branch, Islamic Azad University;

关键词: Fixed point;    Homotopy analysis method;    Mathematical model;    Numerical simulation;    The Caputo–Fabrizio derivation;   

DOI  :  10.1186/s13662-020-02544-w

来源: DOAJ

【 摘 要 】

Abstract By using the fractional Caputo–Fabrizio derivative, we investigate a new version for the mathematical model of HIV. In this way, we review the existence and uniqueness of the solution for the model by using fixed point theory. We solve the equation by a combination of the Laplace transform and homotopy analysis method. Finally, we provide some numerical analytics and comparisons of the results.

【 授权许可】

Unknown